Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties
dc.contributor.author
hal.structure.identifier | REBILLAT, Marc
|
dc.contributor.author
hal.structure.identifier | EGE, Kerem
|
dc.contributor.author
hal.structure.identifier | GALLO, Maxime
|
dc.contributor.author
hal.structure.identifier | ANTONI, Jérôme
|
dc.date.accessioned | 2016 |
dc.date.available | 2016 |
dc.date.issued | 2015 |
dc.date.submitted | 2016 |
dc.identifier.issn | 1087-1357 |
dc.identifier.uri | http://hdl.handle.net/10985/10522 |
dc.description.abstract | Measurements on vibrating structures has been a topic of interest for decades. Vibrating structures are however generally assumed to behave linearly and in a noise-free environment, which is not the case in practice. This paper provides a methodology that allows for the autonomous estimation of nonlinearities and assessment of uncertainties by bootstrap on a given vibrating structure. Nonlinearities are estimated by means of a block-oriented nonlinear model approach based on parallel Hammerstein models and on exponential sine sweeps. Estimation uncertainties are simultaneously assessed using repetitions of the input signal (multi-sine sweeps) as the input of a bootstrap procedure. Mathematical foundations and a practical implementation of the method are discussed using an experimental example. The experiment chosen here consists in exciting a steel plate under various boundary conditions with exponential sine sweeps and at different levels in order to assess the evolution of nonlinearities and uncertainties over a wide range of frequencies and input amplitudes. |
dc.language.iso | en |
dc.publisher | American Society of Mechanical Engineers |
dc.rights | Post-print |
dc.subject | Nonlinear vibrating structure |
dc.subject | nonlinear system identification |
dc.subject | parallel Hammerstein models |
dc.subject | bootstrap procedure |
dc.subject | uncertainty quantification |
dc.title | Repeated exponential sine sweeps for the autonomous estimation of nonlinearities and bootstrap assessment of uncertainties |
dc.identifier.doi | 10.1177/0954406215620685 |
dc.typdoc | Article dans une revue avec comité de lecture |
dc.localisation | Centre de Paris |
dc.subject.hal | Mathématique: Probabilités |
dc.subject.hal | Sciences de l'ingénieur: Mécanique: Vibrations |
dc.subject.hal | Sciences de l'ingénieur: Traitement du signal et de l'image |
ensam.audience | Internationale |
ensam.page | 1-12 |
ensam.journal | Journal of Manufacturing Science and Engineering |
ensam.volume | XX |
ensam.issue | XX |
ensam.peerReviewing | Oui |
hal.identifier | hal-01253861 |
hal.version | 1 |
hal.status | accept |